本文考虑带非线性边界条件的反应扩散方程组的爆破速率。
This paper studies the blow-up rate for reaction-diffusion systems with nonlinear boundary conditions.
讨论了一类半线性抛物型方程具有第三类非线性边界条件的初边值问题。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
研究在外部区域中拟线性椭圆型方程，具有非线性边界条件的边值问题。
This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
以五角形波导为例，比较了常数边界元法和线性边界元法两者各自的优势。
Taking the pentagon waveguide for example, LBEM has been compared with CBEM to obtain the advantage and difference.
由于采用了非线性边界元，文中所提出的方法可以广泛地适用于偏离设计的工况。
Owing to the use nonlinear boundary element method, extensions to off design conditions can be easily obtained.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
讨论一类带有非线性边界条件的拟线性反应扩散方程组，给出了解整体存在的充分必要条件。
The necessary and sufficient conditions are discussed on the existence of global solutions for quasilinear reaction-diffusion systems with nonlinear boundary conditions.
本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计。
In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux.
本文在有限元法的前处理工作基础上，提出了回转体非线性边界元自动前处理的改进插值法。
This paper proposes an modified continuous transfinite interpolation method for automatic grid generation of axisymmetric BEM in terms of previous automatic mesh generation work in FEM.
计算结果表明：线性边界元法具有计算精度高，所需节点少，占内存小，计算时间短的优点。
It has been shown that LBEM has the advantage of higher accuracy, fewer nodes, smaller memory and shorter time.
讨论带有非线性边界条件的快扩散与慢扩散耦合的方程组，给出了解整体存在的充分必要条件。
In this paper the global solutions and blow-up problems are studied for the fast-slow diffusion systems with nonlinear boundary conditions.
提出了一种基于有限体积法预测非线性边界条件下多层多孔介质内的传热传湿过程的数值分析方法。
A numerical approach based on finite volume method is proposed to study the procedure of coupled heat and moisture transfer in multilayered porous media under nonlinear boundary conditions.
本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题。
This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition.
对于其中的非线性约束采用活动约束集的概念，而对于线性边界约束，则按约束优化方法中的梯度投影法作专门处理。
The active constraint set was introduced in the nonlinear constraints of the optimization, meanwhile the project gradient method was used to treat the linear boundary constraints.
线性边界元法（LBEM）是在常数边界元法（CBEM）的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。
The linear boundary element method (LBEM) is based on the constant boundary element method (CBEM), it makes boundary element into linear segment from linear interpolating function.
人类的眼睛是一个高度非线性运作的设备，网页用户能够直觉地识别边界、模式和运动。
The human eye is a highly non-linear device, and web-users can instantly recognize edges, patterns and motions .
采用分析与计算相结合的方法着重讨论了热屈曲的线性化问题，获得了反映环板失稳特征的稳定边界。
The linearized problem is analyzed and stability boundaries which characterize instability of a plate are obtained by means of numerical and analysis methods.
本文数值模拟了多涡结构在边界层中的非线性演化过程。
The evolution of vortexes in the boundary layer are numerically simulated.
橡胶是一种特殊的材料，要实施橡胶制品的有限元分析，就要能综合处理几何非线性、材料非线性以及边界非线性问题。
Rubber is a very unique material, proper analysis of rubber components require handling the problems of geometric nonlinearity, nonlinear boundary conditions, and material nonlinearity.
对于多乘性区间线性系统，给出边界值矩阵的定义。
Then the definition of boundary value matrix for multi-multiplication interval linear systems is proposed.
并且沿着两个单元的公共边界，将线性力矩单元的有关广义位移参数置零，能够使两个不同阶次的单元互相匹配。
The two different elements can be coupled by allowing the generalized displacement parameter of linear moment to get zero along the common boundary.
建立了各种边界条件下考虑井筒储存效应和表皮效应的非线性不稳定渗流数学模型，并用数值法对其求解。
The nonlinear mathematical models with wellbore storage and skin effects under several boundary conditions were established and solved by using numerical methods.
得到了按矩形四边固支边界考虑时，膜材大挠度非线性振动频率的幂级数表达式。
Derived and solved the governing vibration equations of orthotropic membrane, and obtained the power series formula of nonlinear vibration frequency of rectangular membrane with four edges fixed.
本文讨论了关于边界电位作线性变化的正方形结构静电四极场；
We describe an exact quadrupole field with square cross-section in which the boundary potential varies linearly with position.
接触问题是非线性问题，涉及到应力集中、局部边界非线性、切向力的不可逆性等一系列非线性问题。
The contact problems are non-linear problems, which relate to stress concentration, local boundary nonlinear, no-reversibility of shear force, and so on.
圆柱滚子轴承在载荷作用下的应力分析，是典型的边界非线性的接触问题。
To compute the stress of the cylindrical roller bearings under loading is a typical boundary nonlinear contact issue.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
针对传统扩散模型中的边界模糊问题，提出一种基于非局部信息的非线性偏微分方程去噪模型。
A nonlinear partial differential equation model based on nonlocal information was proposed to remove noise and preserve the edges.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
为了验证非线性颤振边界的求解方法，还利用ONERA气动力模型中的线性部分建立了夹芯翼的线性颤振方程。
In order to validate the presented method, the linear flutter equations of the sandwich wing are established using the linear part of the ONERA model.
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